Results 11 to 20 of about 287 (124)
On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory [PDF]
Journal of Fuzzy Extension and ApplicationsIntegers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia.
Mohammad Abobala +2 more
doaj +1 more source
Multivariate Diophantine equations with many solutions [PDF]
, 2001 Among other things we show that for each n-tuple of positive rational numbers (a_1,..., a_n) there are sets of primes S of arbitrarily large cardinality s such that the solutions of the equation a_1x_1+..+a_nx_n=1 with x_1,..,x_n S-units are notcontained
J. Evertse +3 more
semanticscholar +1 more source
Diophantine equations in semiprimes
Discrete Analysis, 2019 Diophantine equations in semiprimes, Discrete Analysis 2019:17, 21 pp. This paper considers the problem of finding integer solutions to integral polynomial equations of the form $$f(x_1,\dots,x_n)=0\qquad\qquad (*)$$ with the condition that each ...
Shuntaro Yamagishi
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On a class of quartic Diophantine equations of at least five variables
Notes on Number Theory and Discrete Mathematics, 2018 In this paper, elliptic curves theory is used for solving the quartic Diophantine equation X + Y 4 = 2U + ∑n i=1 TiU 4 i , where n ≥ 1, and Ti, are rational numbers.
H. Abdolmalki, F. Izadi
semanticscholar +1 more source
Bounds for Lacunary maximal functions given by Birch–Magyar averages [PDF]
Transactions of the American Mathematical Society, 2019 We obtain positive and negative results concerning lacunary discrete maximal operators defined by dilations of sufficiently nonsingular hypersurfaces arising from Diophantine equations in many variables.
Brian Cook, Kevin A. Hughes
semanticscholar +1 more source
Another New Solvable Many-Body Model of Goldfish Type
Symmetry, Integrability and Geometry: Methods and Applications, 2012 A new solvable many-body problem is identified. It is characterized by nonlinear Newtonian equations of motion (''acceleration equal force'') featuring one-body and two-body velocity-dependent forces ''of goldfish type'' which determine the motion ofan ...
Francesco Calogero
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Geometric proofs of theorems of Ax-Kochen and Eršov [PDF]
, 2016 We give an algebraic geometric proof of the Theorem of Ax and Kochen on p-adic diophantine equations in many variables. Unlike Ax-Kochen's proof, ours does not use any notions from mathematical logic and is based on weak toroidalization of morphisms.
J. Denef
semanticscholar +1 more source
Journal of Geophysical Research: Space Physics, Volume 131, Issue 3, March 2026.Abstract The wave telescope is an analysis technique for multi‐point spacecraft data that estimates power spectra in reciprocal position space (k $k$‐space). It has been used to reveal the spatial properties of waves and fluctuations in space plasmas. Originally designed as an analysis tool for 4 spacecraft constellations, new multi‐scale missions such
L. Schulz +7 more
wiley +1 more source
Arithmetic progressions at the Journal of the LMS
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We discuss the papers P. Erdős and P. Turán, On some sequences of integers, J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers, J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
Ben Green
wiley +1 more source
Laminated wave turbulence: Generic algorithms iii [PDF]
, 2007 Model of laminated wave turbulence allows to study statistical and discrete layers of turbulence in the frame of the same model. Statistical layer is described by Zakharov–Kolmogorov energy spectra in the case of irrational enough dispersion function ...
E. Kartashova, A. Kartashov
semanticscholar +1 more source